English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

Find the distance between the points:

A(7, –4) and B(–5, 1)

Find the distance between the points:

A(–6, –4) and B(9, –12)

Find the distance between the points:

A(1, –3) and B(4, –6)

Find the distance between the points:

P(a + b, a – b) and Q(a – b, a + b)

Find the distance between the points:

P(a sin α, a cos α) and Q(a cos α, – a sin α)

Find the distance of the following points from the origin:

A(5, –12)

Find the distance of the following points from the origin:

B(–5, 5)

Find the distance of the following points from the origin:

C(–4, –6)

Find all possible values of x for which the distance between the points A(x, –1) and B(5, 3) is 5 units.

Find all possible values of y for which the distance between the points A(2, –3) and B(10, y) is 10 units.

Find the values of x for which the distance between the points P(x, 4) and Q(9, 10) is 10 units.

If the point A(x, 2) is equidistant from the points B(8, –2) and C(2, –2), find the value of x. Also, find the length of AB.

Using the distance formula, show that the given points are collinear:  

 (1, –1), (5, 2) and (9, 5)

Using the distance formula, show that the given points are collinear:

(6, 9), (0, 1) and (–6, –7)

Using the distance formula, show that the given points are collinear:

(–2, 5), (0, 1) and (2, –3)

Find the distance between the points `A((-8)/5, 2)` and `B(2/5, 2)`.

If P(x, y) is equidistant from the points A(7, 1) and B(3, 5), find the relation between x and y.

For what values of k are the points (8, 1), (3, –2k) and (k, –5) collinear ?

The long and short hands of a clock are 6 cm and 4 cm long respectively. Find the sum of the distances travelled by their tips in 24 hours. (Use π = 3.14) ?

If A and B are the points (−6, 7) and (−1, −5) respectively, then the distance

2AB is equal to